10215216960 has 224 divisors, whose sum is σ = 35025177600. Its totient is φ = 2507538432.

The previous prime is 10215216931. The next prime is 10215217013. The reversal of 10215216960 is 6961251201.

10215216960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5602609 + ... + 5604431.

It is an arithmetic number, because the mean of its divisors is an integer number (156362400).

Almost surely, 2^10215216960 is an apocalyptic number.

10215216960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10215216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17512588800).

10215216960 is an abundant number, since it is smaller than the sum of its proper divisors (24809960640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10215216960 is a wasteful number, since it uses less digits than its factorization.

10215216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 10215216960 in words is "ten billion, two hundred fifteen million, two hundred sixteen thousand, nine hundred sixty".